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Uncountable universal locally finite groups. (English) Zbl 0363.20032

MSC:
20F50 Periodic groups; locally finite groups
20E25 Local properties of groups
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References:
[1] Ehrenfencht, A, On theories categorical in power, Fund. math., 44, 241-248, (1957) · Zbl 0105.00601
[2] Hall, P, Some constructions for locally finite groups, J. London math. soc., 34, 305-319, (1959) · Zbl 0088.02301
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[4] Keisler, H.J, Model theory for infinitary logic, (1971), North-Holland Amsterdam · Zbl 0222.02064
[5] Macintyre, A, Omitting quantifier-free types in generic structures, J.s.l., 37, 512-520, (1972) · Zbl 0273.02038
[6] Neumann, B.H, On amalgams of periodic groups, (), 477-489 · Zbl 0092.02001
[7] \scS. Shelah, A combinatorial problem: Stability and order in infinitary logic, Pacific J. Math., to appear. · Zbl 0239.02024
[8] \scS. Shelah, Why unsuperstable first-order theories have many nonisomorphic models, Proceedings of the International Congress of Mathematicians at Vancouver, 1, 259-263.
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